Office: Academic Affairs Building, Room A2-1020
Office Hours: Refer my class timetable for available slot for appointment.

UNDERGRADUATE

No.	Course Code	Course Name
1.	MAT037	Essential Mathematics
2.	MAT111	Mathematics with Business Applications
3.	MAT112	Business Mathematics
4.	MAT402	Business Mathematics (Degree Level)
5.	QMT335	Introduction to Time Series Forecasting
6.	QMT339	Spreadsheet Modeling and Decision Analysis

TIMETABLE

MAC 2019

TIME / DAY	Sunday	Monday	Tuesday	Wednesday
8 - 9	STA104 (KAC1102F)			MAT112 (KAM1101R)
9 - 10	STA104 (KAC1102F)			MAT112 (KAM1101R)
10 - 11				QMT181 (KBA1193A)
11 - 12				QMT181 (KBA1193A)
12 - 1	MAT112 (KBA1111R1)	QMT181 (KBA1193A)	MAT112 (KAM1101R)
1 - 2	MAT112 (KBA1111R1)	QMT181 (KBA1193A)	MAT112 (KAM1101R)
2 - 3
3 - 4
4 - 5		MAT112 (KBA1111R1)	STA104 (KAC1102F)
5 - 6		MAT112 (KBA1111R1)	STA104 (KAC1102F)

SEPTEMBER 2019

TIME / DAY	Sunday	Monday	Tuesday	Wednesday	Thursday
8 - 10	MAT112 (KAM1101I)	MAT112 (KAM1101I)		MAT112 (KAM1101J)
10 - 12		MAT112 (KAC1101F)	MAT112 (KBA1191C)		MAT112 (KBA1191C)
12 - 2	MAT112 (KBA1191F)		MAT112 (KBA1191F)		MAT112 (KAC1101F)
2 - 4
4 - 6			MAT112 (KBA1101J)

OCT 2020 - FEB 2021 (20204)

20212

20214

COURSE DETAILS

MAT111

Course Information

Course Learning Outcomes

At the end of the course, students should be able to:
1. Solve basic mathematical problems. ( C3 A1 P2 )
2. Apply mathematical concepts to solve mathematical problems in finance and banking. ( C4 A1 P2 )
3. Apply mathematical concepts to solve mathematical problems in trading and retailing. ( C5 P2 A1 )

Course Description

The course is primarily designed to strengthen the fundamental concepts of mathematics with emphasis on business application and problem solving.

Syllabus Content

Fundamental Concepts Of Mathematics
1. Introduction to arithmetic operations
2. Linear Equations
3. Fractions, decimals, ratios and percentages
Simple Interest
1. Simple Interest and Bank Discount
2. Present Value, Rate and Time
3. Applications of Simple Interest and Bank Discount
Compound Interest
1. Compound Interest and Compound Amount
2. Present Value
3. Applications of Compound Interest
Business Loans and Instalment Purchase
1. Discounted Loan
2. Flat Rate Loan
3. Reducing Balance Loan
4. Instalment purchase
Mathematics of Trading
1. Trade Discount
2. Single discount equivalent
3. Cash discount
Mathematics of Retailing
1. Mark up and mark down
2. Gross profit, net profit and break even price

References

Lau Too Kya, Phang Yook Ngor and Wee Kok Kiang, Business Mathematics for UiTM, 4th, Oxford Fajar Sdn. Bhd., ISBN: 9789676571601.
James Deitz,James Southam, Contemporary Business Mathematics for Colleges, 16th, Cengage Learning, 2012, ISBN: 1111821321.
Jeffrey Slater,Sharon M. Wittry, Math for Business and Finance, McGraw-Hill, 2014, ISBN: 9780077662622.
Stanley A. Salzman,Gary Clendenen, Mathematics for Business, 10th, Addison-Wesley Longman, 2012, ISBN: 9780132898355.

Course Assessment

Final examination – One 3-hour paper : 60%
Course Work (Continuous assessments) : 40%
- Test (3) : 30%
- Quizzes (4) : 10%

Continuous Assessment Marks

KBA1111D

Continuous Assessment

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Test 3	Quiz 2	Quiz 4	Quiz 1	Quiz 3	CM
1	2018638116	100	69	100	100	100	100	100	36.9
2	2018248082	84	45	85	80	90	85	85	29.9
3	2018655806	70	94	97	95	90	85	85	34.9
4	2018444178	99	92	82	100	100	90	90	36.7
5	2018279402	92	75	79	85	80	90	90	33.3
6	2018242762	69	57	92	70	80	90	90	30.2
7	2018639868	77	64	89	85	75	100	100	32.2
8	2018423128	100	89	97	90	90	80	80	37.0
9	2018420636	39	20	45	100	80	75	75	18.5
10	2018655812	99	100	97	85	95	75	75	37.7
11	2018443488	70	75	74	100	95	75	75	30.3
12	2018209264	62	49	34	85	90	90	90	23.4
13	2018807132	70	39	87	80	75	80	80	27.5
14	2018652774	65	70	80	70	90	75	75	29.2
15	2018699944	72	39	35	95	100	75	75	23.0
16	2018220388	80	92	100	95	80	80	80	35.5
17	2018671466	84	89	94	70	95	85	85	35.1
18	2018807082	77	52	85	80	95	85	85	30.0
19	2018282816	80	70	85	90	90	75	75	31.6
20	2018658586	40	32	75	85	90	75	75	22.7
21	2018659334	52	49	54	85	75	100	100	24.7
22	2018241854	45	40	87	90	80	80	80	25.4
23	2018239682	97	72	100	90	75	100	100	36.2
24	2018419784	95	94	92	70	75	80	80	35.8
25	2018633932	80	79	100	75	100	100	100	35.4
26	2018659306	65	59	59	90	80	75	75	26.2
27	2018434388	50	37	40	90	80	75	75	20.6

Performance Summary

Performance Summary
Test 1	Test 2	Test 3	Quiz 2	Quiz 4	Quiz 1	Quiz 3	CM
Min. : 39.00	Min. : 20.00	Min. : 34.00	Min. : 70.0	Min. : 75.00	Min. : 75.00	Min. : 75.00	Min. :18.50
1st Qu.: 65.00	1st Qu.: 47.00	1st Qu.: 74.50	1st Qu.: 80.0	1st Qu.: 80.00	1st Qu.: 75.00	1st Qu.: 75.00	1st Qu.:25.80
Median : 77.00	Median : 69.00	Median : 85.00	Median : 85.0	Median : 90.00	Median : 80.00	Median : 80.00	Median :30.30
Mean : 74.56	Mean : 64.52	Mean : 79.41	Mean : 86.3	Mean : 86.85	Mean : 84.26	Mean : 84.26	Mean :30.37
3rd Qu.: 88.00	3rd Qu.: 84.00	3rd Qu.: 95.50	3rd Qu.: 92.5	3rd Qu.: 95.00	3rd Qu.: 90.00	3rd Qu.: 90.00	3rd Qu.:35.45
Max. :100.00	Max. :100.00	Max. :100.00	Max. :100.0	Max. :100.00	Max. :100.00	Max. :100.00	Max. :37.70

MAT112

Course Information

Course Outcomes

At the end of the course, students should be able to:
• Understand and describe mathematical terms encountered in business, finance and investment. (C2, P3, A3)
• Solve basic mathematical problems involving sequence. (C3, P3, A3)
• Apply mathematical concepts to solve mathematical problems in other areas such as business, statistics, finance, economics, etc. (C5, P3, A3)

Course Description

The course is primarily designed to develop the mathematical knowledge needed by the students to meet the demands of business operation. It is to provide a solid coverage of the most basic and frequently occurring business situations.

Syllabus Content

Sequence Presentation Download
• Introduction to sequence
• Arithmetic sequence
• Finding the nth term and the sum of the first n terms
• Geometric sequence
• Finding the nth term and the sum of the first n terms
Simple Interest Presentation Download
• Introduction to interest
• Simple interest formula
• Simple amount formula
• Exact time and approximate time
• Ordinary simple interest and exact simple interest
• Banker’s Rule
• Present Value
Bank Discount and Promissory Notes Presentation Download
• Introduction to promissory notes
• Introduction to bank discount
• Simple interest rate equivalent to bank discount rate
Compound Interest
• Time value of money
• Introduction to compound interest
• Important terms use in compound interest
• Compound interest formula
• Present Value
Annuity
• Introduction to annuity and types of annuities
• Future value of ordinary annuity certain
• Present value of ordinary annuity certain
• Solving for R and n.
Installment Purchase
• Introduction to installment purchase
• Interest based on original balance
• Interest based on reducing balance – constant ratio formula
• Unpaid principal balance using Rule of 78
Trade and Cash Discounts
• Introduction to trade discount
• Net price formula
• Chain discount
• Single discount equivalent to chain discount
• Cash discount
Mathematics of Retailing
• Cost, selling price, profit, loss
• Mark up and mark down
• Profit and loss: Gross profit, net profit and breakeven price
• Trade discount & Mathematics of retailing
Depreciation
• Introduction to depreciation
• Straight line method
• Declining balance method

References

Recommended Text
Lau Too Kya, Phang Yook Ngor and Wee Kok Kiang, Business Mathematics for UiTM 3rd edition, Fajar Bakti, 2009

References

Frank Ayers, Mathematics of Finance, Schaum Series, McGraw-Hill Book Company, 1997
Charles D. Miller, Stanley A. Salzman, Gary Clendenen, Business Mathematics, 7th edition, Addision Wesley, 1997
Deitz and Southam, Contemporary Business Mathematics for Colleges, 12th edition, ITP, 1999.
Mohd Alias Lazim, Azizah Murad, Wan Hartini Wan Hassan. Matematik Perniagaan. Biroteks.

Course Assessment

Final examination – One 3-hour paper : 60%
Course Work (Continuous assessments) : 40%
- Test (2) : 30%
- Quizzes (3) : 6%
- Assignment (1): 4%

Support Materials

Past Semester Exam Papers	Answer Scheme
June 2019	Answer Scheme June 2019
Dec 2018	Answer Scheme Dec 2018
Jan 2018	Answer Scheme Jan 2018

Past Test Paper With Answers
Test 2 Dec 2019
Test 1 Nov 2019

Workshops Questions With Answers
Nov 2019 Session 1 Answers

Nov 2019 Session 2 Answers

Continuous Assessment Marks

Semester 20192

KBA1111E

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz	Assignment	CM
1	2018242234	65	74	6	22.5	29.9
2	2018271588	38	30	4	21.5	17.1
3	2018633384	55	59	5	23.0	25.2
4	2018272212	79	88	6	22.0	34.0
5	2018413816	31	37	4	23.0	17.3
6	2018410072	87	85	6	22.0	34.7
7	2018296772	85	95	6	22.5	36.0
8	2018413124	72	80	6	22.5	31.8
9	2018413458	56	55	6	22.0	25.6
10	2018426856	32	42	4	21.5	18.0
11	2018241022	56	57	4	18.0	23.4
12	2018639748	86	100	5	22.5	35.9
13	2018285338	90	84	6	18.0	34.5
14	2018256458	95	98	5	22.5	37.0
15	2018211454	86	85	5	18.0	33.1
16	2018239458	83	100	5	22.5	35.5
17	2018405706	98	100	6	22.5	38.7
18	2018409308	80	80	4	18.0	30.4
19	2018416636	57	58	6	21.5	26.1
20	2018231208	88	92	5	23.0	35.1
21	2018429102	65	64	4	23.0	26.4
22	2018244194	76	77	4	22.0	29.9
23	2018416436	79	75	4	22.0	30.0
24	2018673146	71	72	5	22.0	29.4
25	2018428266	79	73	5	23.0	30.9
26	2018655382	57	58	4	22.5	24.3
27	2018696446	68	65	5	23.0	28.0
28	2018696462	82	87	6	22.5	34.4
29	2018253544	59	55	5	21.5	25.0

Performance Summary
Test 1	Test 2	Quiz	Assignment	CM
Min. :31.00	Min. : 30.00	Min. :4.000	Min. :18.00	Min. :17.10
1st Qu.:57.00	1st Qu.: 58.00	1st Qu.:4.000	1st Qu.:21.50	1st Qu.:25.60
Median :76.00	Median : 75.00	Median :5.000	Median :22.50	Median :30.00
Mean :70.86	Mean : 73.28	Mean :5.034	Mean :21.74	Mean :29.57
3rd Qu.:85.00	3rd Qu.: 87.00	3rd Qu.:6.000	3rd Qu.:22.50	3rd Qu.:34.50
Max. :98.00	Max. :100.00	Max. :6.000	Max. :23.00	Max. :38.70

## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                             
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##                                 Statistic       df          p            Mean difference    SE difference                 Effect Size   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Test 1        Student's t     2.7689188      27.00000    0.9949790        18.48809524        6.6770088    Cohen's d     1.15041512   
##    Test 2        Student's t     2.8412652      27.00000    0.9957765        20.33333333        7.1564362    Cohen's d     1.18047320   
##    Quiz          Student's t    -0.1368001      27.00000    0.4461019        -0.04761905        0.3480923    Cohen's d    -0.05683694   
##    Assignment    Student's t    -3.7676351 <U+1D43>    27.00000    0.0004078        -2.05952381        0.5466357    Cohen's d    -1.56535626   
##    CM            Student's t     2.4216535      27.00000    0.9887791         5.51011905        2.2753541    Cohen's d     1.00613523   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
##    <U+1D43> Levene's test is significant (p < .05), suggesting a violation of the assumption of equal variances
## 
## 
##  Group Descriptives                                                                 
##  ---------------------------------------------------------------------------------- 
##                  Group    N     Mean         Median       SD            SE          
##  ---------------------------------------------------------------------------------- 
##    Test 1        L         8    84.250000    86.000000    12.8813265    4.5542366   
##                  P        21    65.761905    68.000000    17.0467145    3.7198981   
##                                                                                     
##    Test 2        L         8    88.000000    91.500000    15.0332964    5.3150729   
##                  P        21    67.666667    72.000000    17.9285619    3.9123330   
##                                                                                     
##    Quiz          L         8     5.000000     5.000000     0.7559289    0.2672612   
##                  P        21     5.047619     5.000000     0.8646497    0.1886820   
##                                                                                     
##    Assignment    L         8    20.250000    20.250000     2.4053512    0.8504201   
##                  P        21    22.309524    22.500000     0.5584843    0.1218713   
##                                                                                     
##    CM            L         8    33.562500    35.000000     4.8077133    1.6997833   
##                  P        21    28.052381    29.400000     5.6920663    1.2421107   
##  ----------------------------------------------------------------------------------

Gallery

KBA1191C

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz	Assignment	CM
1	2018240978	96	93	5	19.5	35.95
2	2018428184	74	84	6	19.5	32.30
3	2018241882	59	58	4	23.5	24.68
4	2018291752	68	64	4	19.5	26.40
5	2018697824	95	94	5	23.5	36.48
6	2018257326	56	55	4	23.5	23.78
7	2018269886	92	83	4	19.5	32.85
8	2018215446	59	59	6	19.5	26.30
9	2018655986	83	93	6	23.5	35.53
10	2018661938	40	48	4	18.5	19.67
11	2018253136	70	62	5	19.0	27.33
12	2018241216	48	44	5	20.0	21.47
13	2018291026	92	85	5	20.5	34.28
14	2018269968	73	67	6	20.5	29.73
15	2018256108	96	95	4	20.5	35.38
16	2018416134	96	78	6	23.5	35.23
17	2018429134	91	94	6	19.0	36.28
18	2018291192	99	99	5	19.0	37.23
19	2018404588	91	89	6	20.0	35.67
20	2018232088	92	87	6	23.5	35.98
21	2018242086	52	59	5	19.0	24.18
22	2018235964	90	93	6	20.0	36.12
23	2018240114	51	52	6	20.5	24.18
24	2018410898	77	92	6	20.5	34.08
25	2018675422	42	53	6	20.0	22.92
26	2018255974	76	79	6	19.0	31.78
27	2018229232	51	55	4	18.5	22.37
28	2018254016	51	59	5	18.5	23.97
29	2018675326	30	38	4	18.5	16.67
30	2018691826	51	54	4	18.5	22.22
31	2018256954	41	54	6	20.0	22.92

Performance Summary
Test 1	Test 2	Quiz	Assignment	CM
Min. :30.00	Min. :38.00	Min. :4.000	Min. :18.50	Min. :16.67
1st Qu.:51.00	1st Qu.:55.00	1st Qu.:4.000	1st Qu.:19.00	1st Qu.:23.88
Median :73.00	Median :67.00	Median :5.000	Median :20.00	Median :29.73
Mean :70.39	Mean :71.58	Mean :5.161	Mean :20.27	Mean :29.16
3rd Qu.:91.50	3rd Qu.:90.50	3rd Qu.:6.000	3rd Qu.:20.50	3rd Qu.:35.45
Max. :99.00	Max. :99.00	Max. :6.000	Max. :23.50	Max. :37.23

## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                           
##  ------------------------------------------------------------------------------------------------------------------------------------ 
##                                 Statistic     df          p            Mean difference    SE difference                 Effect Size   
##  ------------------------------------------------------------------------------------------------------------------------------------ 
##    Test 1        Student's t     0.6932653    29.00000    0.7531707          6.0489130        8.7252494    Cohen's d      0.2845584   
##    Test 2        Student's t     0.3776024    29.00000    0.6457622          2.9239130        7.7433646    Cohen's d      0.1549911   
##    Quiz          Student's t    -1.6114563    29.00000    0.0589561         -0.5543478        0.3440043    Cohen's d     -0.6614400   
##    Assignment    Student's t     1.3983787    29.00000    0.9136987          0.9782609        0.6995679    Cohen's d      0.5739800   
##    CM            Student's t     0.3537829    29.00000    0.6369696          0.9211957        2.6038446    Cohen's d      0.1452141   
##  ------------------------------------------------------------------------------------------------------------------------------------ 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
## 
## 
##  Group Descriptives                                                                 
##  ---------------------------------------------------------------------------------- 
##                  Group    N     Mean         Median       SD            SE          
##  ---------------------------------------------------------------------------------- 
##    Test 1        L         8    74.875000    71.000000    17.1250652    6.0546249   
##                  P        23    68.826087    73.000000    22.4127646    4.6733845   
##                                                                                     
##    Test 2        L         8    73.750000    73.500000    16.4033969    5.7994766   
##                  P        23    70.826087    67.000000    19.5835092    4.0834440   
##                                                                                     
##    Quiz          L         8     4.750000     4.500000     0.8864053    0.3133916   
##                  P        23     5.304348     6.000000     0.8221249    0.1714249   
##                                                                                     
##    Assignment    L         8    21.000000    19.500000     2.0701967    0.7319251   
##                  P        23    20.021739    20.000000     1.5701640    0.3274018   
##                                                                                     
##    CM            L         8    29.842500    29.350000     5.1304100    1.8138739   
##                  P        23    28.921304    29.730000     6.6837260    1.3936532   
##  ----------------------------------------------------------------------------------

Gallery

KBA1191D

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz	Assignment	CM
1	2018241724	58	49	6	22.5	25.1
2	2018257466	86	88	6	22.5	35.1
3	2018443024	84	100	6	26.5	37.1
4	2018278466	67	60	5	22.5	27.1
5	2018242106	81	82	6	26.5	34.0
6	2018659492	70	73	5	26.5	30.0
7	2018278066	37	30	4	22.5	17.1
8	2018290614	82	80	4	26.5	31.8
9	2018218788	95	100	6	26.5	38.8
10	2018632744	63	60	6	22.5	27.5
11	2018661322	77	77	5	21.5	31.0
12	2018256946	81	88	5	24.0	33.6
13	2018293964	60	58	6	24.0	26.9
14	2018410934	87	79	6	24.0	34.1
15	2018256064	91	98	6	22.5	37.4
16	2018293966	98	100	6	23.5	38.8
17	2018277088	80	85	6	22.5	33.8
18	2018672576	77	85	6	25.0	33.6
19	2018215602	81	88	6	21.5	34.2
20	2018639902	67	60	4	25.0	26.4
21	2018253122	54	60	6	25.0	26.4
22	2018429348	79	79	4	21.5	30.6
23	2018267062	58	60	5	22.5	25.7
24	2018244312	86	100	6	25.0	37.2
25	2018229006	86	82	5	24.0	33.4
26	2018253464	94	98	4	23.5	35.9
27	2018407396	94	84	5	21.5	34.6
28	2018681602	56	53	4	21.5	23.2
29	2018417302	60	62	6	22.5	27.3
30	2018660954	69	60	6	22.5	28.4
31	2018257486	53	50	4	25.0	22.8
32	2018242096	67	63	6	23.5	28.6
33	2018279284	81	100	6	23.5	36.3

Performance Summary
Test 1	Test 2	Quiz	Assignment	CM
Min. :37.00	Min. : 30.00	Min. :4.000	Min. :21.50	Min. :17.10
1st Qu.:63.00	1st Qu.: 60.00	1st Qu.:5.000	1st Qu.:22.50	1st Qu.:27.10
Median :79.00	Median : 79.00	Median :6.000	Median :23.50	Median :31.80
Mean :74.52	Mean : 75.48	Mean :5.364	Mean :23.64	Mean :31.02
3rd Qu.:86.00	3rd Qu.: 88.00	3rd Qu.:6.000	3rd Qu.:25.00	3rd Qu.:34.60
Max. :98.00	Max. :100.00	Max. :6.000	Max. :26.50	Max. :38.80

## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                             
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##                                 Statistic       df          p            Mean difference    SE difference                 Effect Size   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Test 1        Student's t    -0.5659543      31.00000    0.2877496        -3.17826087        5.6157549    Cohen's d    -0.21437515   
##    Test 2        Student's t    -0.6686827      31.00000    0.2543235        -4.71304348        7.0482515    Cohen's d    -0.25328712   
##    Quiz          Student's t     0.1649452      31.00000    0.5649710         0.05217391        0.3163107    Cohen's d     0.06247879   
##    Assignment    Student's t     2.0901836 <U+1D43>    31.00000    0.9775518         1.23913043        0.5928333    Cohen's d     0.79173072   
##    CM            Student's t    -0.4753331      31.00000    0.3189409        -0.95304348        2.0050012    Cohen's d    -0.18004917   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
##    <U+1D43> Levene's test is significant (p < .05), suggesting a violation of the assumption of equal variances
## 
## 
##  Group Descriptives                                                                 
##  ---------------------------------------------------------------------------------- 
##                  Group    N     Mean         Median       SD            SE          
##  ---------------------------------------------------------------------------------- 
##    Test 1        L        10    72.300000    75.500000    16.9315616    5.3542299   
##                  P        23    75.478261    79.000000    13.8723714    2.8925894   
##                                                                                     
##    Test 2        L        10    72.200000    76.500000    22.5329389    7.1255409   
##                  P        23    76.913043    79.000000    16.7383964    3.4901969   
##                                                                                     
##    Quiz          L        10     5.400000     6.000000     0.8432740    0.2666667   
##                  P        23     5.347826     6.000000     0.8316848    0.1734183   
##                                                                                     
##    Assignment    L        10    24.500000    24.500000     2.1081851    0.6666667   
##                  P        23    23.260870    23.500000     1.2780451    0.2664908   
##                                                                                     
##    CM            L        10    30.360000    30.900000     6.4711668    2.0463626   
##                  P        23    31.313043    33.400000     4.7275118    0.9857543   
##  ----------------------------------------------------------------------------------

Gallery

KAC1101E

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz	Assignment	CM
1	2018658758	84	92	6	23.5	35.5
2	2018691334	94	96	6	20.5	37.2
3	2018230796	95	99	6	20.0	37.8
4	2018293778	98	99	6	26.0	39.0
5	2018280412	100	97	6	20.0	38.2
6	2018230712	99	93	6	26.0	38.3
7	2018293676	69	62	5	23.5	27.8
8	2018269128	96	98	6	23.5	38.2
9	2018643006	76	76	6	23.5	31.9
10	2018215998	75	88	6	23.5	33.6
11	2018671834	98	100	6	20.5	38.4
12	2018239474	96	95	6	20.0	37.3
13	2018253908	98	100	5	23.0	37.8
14	2018255918	89	85	5	20.5	33.8
15	2018675368	97	100	5	26.0	38.0
16	2018213646	87	93	5	26.0	35.5
17	2018213686	95	96	6	23.0	37.7
18	2018210308	84	87	6	20.0	34.3
19	2018255752	94	99	6	20.5	37.7
20	2018242322	96	99	6	23.0	38.3
21	2018684514	70	80	6	20.0	31.2
22	2018281262	91	100	6	26.0	38.1
23	2018420362	100	100	6	20.5	38.7
24	2018281904	97	95	6	23.0	37.9
25	2018293922	77	92	6	20.5	34.1
26	2018681914	99	100	6	23.0	38.9

Performance Summary
Test 1	Test 2	Quiz	Assignment	CM
Min. : 69.00	Min. : 62.00	Min. :5.000	Min. :20.00	Min. :27.80
1st Qu.: 84.75	1st Qu.: 92.00	1st Qu.:6.000	1st Qu.:20.50	1st Qu.:34.60
Median : 95.00	Median : 96.00	Median :6.000	Median :23.00	Median :37.75
Mean : 90.54	Mean : 93.12	Mean :5.808	Mean :22.52	Mean :36.35
3rd Qu.: 97.75	3rd Qu.: 99.00	3rd Qu.:6.000	3rd Qu.:23.50	3rd Qu.:38.20
Max. :100.00	Max. :100.00	Max. :6.000	Max. :26.00	Max. :39.00

## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                              
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##                                 Statistic        df          p            Mean difference    SE difference                 Effect Size   
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##    Test 1        Student's t    -3.15185532      24.00000    0.0021572      -13.047619048        4.1396631    Cohen's d    -1.56840529   
##    Test 2        Student's t    -3.18264975 <U+1D43>    24.00000    0.0020027      -12.276190476        3.8572232    Cohen's d    -1.58372901   
##    Quiz          Student's t    -0.04665906      24.00000    0.4815855       -0.009523810        0.2041149    Cohen's d    -0.02321817   
##    Assignment    Student's t     1.10621520 <U+1D43>    24.00000    0.8602005        1.214285714        1.0976939    Cohen's d     0.55046745   
##    CM            Student's t    -2.98433303      24.00000    0.0032204       -3.657142857        1.2254473    Cohen's d    -1.48504396   
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
##    <U+1D43> Levene's test is significant (p < .05), suggesting a violation of the assumption of equal variances
## 
## 
##  Group Descriptives                                                                  
##  ----------------------------------------------------------------------------------- 
##                  Group    N     Mean         Median       SD            SE           
##  ----------------------------------------------------------------------------------- 
##    Test 1        L         5    80.000000    76.000000    10.4163333     4.6583259   
##                  P        21    93.047619    96.000000     7.8324721    1.70918553   
##                                                                                      
##    Test 2        L         5    83.200000    88.000000    14.3248037     6.4062470   
##                  P        21    95.476190    97.000000     5.5733208    1.21619831   
##                                                                                      
##    Quiz          L         5     5.800000     6.000000     0.4472136     0.2000000   
##                  P        21     5.809524     6.000000     0.4023739    0.08780519   
##                                                                                      
##    Assignment    L         5    23.500000    23.500000     0.0000000     0.0000000   
##                  P        21    22.285714    20.500000     2.4164614    0.52731511   
##                                                                                      
##    CM            L         5    33.400000    33.600000     3.9083244     1.7478558   
##                  P        21    37.057143    37.800000     2.0548896    0.44841368   
##  -----------------------------------------------------------------------------------

Semester 20194

KAC1101F

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)	Final Exam Score (Grade “C”)
1	2019225546	46.3	65.0	9.5	10.0	10.0	10	26.595	39
2	2019216608	58.8	56.3	9.0	5.0	10.0	10	26.065	40
3	2019240356	42.5	10.0	5.0	5.0	10.0	10	15.875	57
4	2019805944	12.5	16.3	3.0	4.0	10.0	10	11.720	64
5	2019277544	92.5	100.0	10.0	10.0	10.0	10	38.875	19
6	2019401804	93.8	100.0	10.0	8.5	10.0	10	38.770	19
7	2019442704	78.8	98.8	10.0	10.0	10.0	10	36.640	22
8	2019279064	100.0	100.0	10.0	10.0	10.0	10	40.000	17
9	2019265692	90.0	60.0	10.0	5.0	10.0	10	31.500	31
10	2019289478	80.0	100.0	8.0	10.0	10.0	10	36.600	22
11	2019806386	62.5	81.3	10.0	5.5	10.0	10	30.670	32
12	2019202354	13.8	21.3	4.0	5.0	10.0	10	13.065	62
13	2019435688	46.3	37.5	6.0	5.5	8.5	10	20.570	49
14	2019276536	71.3	63.8	10.0	7.0	10.0	10	29.665	34
15	2019432164	60.0	62.5	3.0	6.5	10.0	10	26.275	40
16	2019209802	71.3	58.8	10.0	5.0	10.0	10	28.515	36
17	2019215412	87.5	100.0	10.0	9.0	10.0	10	37.925	20
18	2019216094	60.0	80.0	4.0	5.0	10.0	10	28.800	35
19	2019431216	98.8	100.0	10.0	10.0	10.0	10	39.820	17
20	2019404176	92.5	81.3	10.0	10.0	10.0	10	36.070	23
21	2019425682	46.3	32.5	10.0	6.0	10.0	10	21.020	48
22	2019212678	83.8	62.5	10.0	10.0	10.0	10	31.945	30
23	2019247062	26.3	47.5	5.0	4.5	10.0	10	18.970	52
24	2019236298	41.3	76.3	3.0	6.0	10.0	10	25.440	41
25	2019434786	87.5	97.5	10.0	8.5	10.0	10	37.450	21
26	2019411714	97.5	97.5	6.0	9.0	10.0	10	38.250	20
27	2019430164	87.5	90.0	5.0	7.5	10.0	10	35.125	25
28	2019431146	77.5	87.5	10.0	8.0	10.0	10	34.350	26

Performance Summary
Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)
Min. : 12.50	Min. : 10.00	Min. : 3.000	Min. : 4.000	Min. : 8.500	Min. :10	Min. :11.72
1st Qu.: 46.30	1st Qu.: 58.17	1st Qu.: 5.000	1st Qu.: 5.000	1st Qu.:10.000	1st Qu.:10	1st Qu.:25.91
Median : 74.40	Median : 78.15	Median :10.000	Median : 7.250	Median :10.000	Median :10	Median :31.09
Mean : 68.10	Mean : 70.86	Mean : 7.875	Mean : 7.339	Mean : 9.946	Mean :10	Mean :29.88
3rd Qu.: 88.12	3rd Qu.: 97.83	3rd Qu.:10.000	3rd Qu.:10.000	3rd Qu.:10.000	3rd Qu.:10	3rd Qu.:36.84
Max. :100.00	Max. :100.00	Max. :10.000	Max. :10.000	Max. :10.000	Max. :10	Max. :40.00

KAM1101I

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)	Final Exam Score (Grade “C”)
1	2019237252	72.5	100.0	10.0	5.5	10.0	10	34.975	25
2	2019835746	10.0	28.8	4.0	1.0	5.0	10	11.820	64
3	2019445516	27.5	23.8	10.0	NA	10.0	10	15.695	57
4	2019227716	88.8	76.3	10.0	5.5	10.0	10	33.865	27
5	2019279048	95.0	72.5	10.0	6.0	10.0	10	34.325	26
6	2019855964	5.0	5.0	3.0	3.5	5.5	10	7.900	70
7	2019686532	7.5	18.8	6.0	3.5	10.0	10	11.845	64
8	2019488014	48.8	58.8	10.0	NA	10.0	10	24.140	43
9	2019467822	33.8	45.0	10.0	3.5	10.0	10	20.520	49
10	2018434736	45.0	30.0	NA	NA	10.0	10	17.250	55
11	2019288952	21.3	11.3	4.0	1.5	3.5	10	10.690	66
12	2019838002	31.3	22.5	10.0	4.0	NA	10	14.870	59
13	2019208694	41.3	31.3	6.0	NA	NA	10	16.090	57
14	2018893058	42.5	2.5	NA	NA	NA	10	10.750	65
15	2019482784	30.0	NA	10.0	2.5	5.5	10	12.100	63
16	2019421066	47.5	10.0	5.0	1.5	8.0	10	15.525	57
17	2019432706	25.0	40.0	6.0	5.5	7.5	10	17.550	54
18	2019443026	71.3	2.3	6.0	10.0	7.0	10	19.640	51
19	2019853756	7.5	10.0	3.0	3.5	10.0	10	9.925	67
20	2019439338	28.8	27.5	5.5	2.0	5.5	10	15.045	58
21	2019210568	13.8	50.0	7.5	5.5	10.0	10	18.170	53
22	2019445768	32.5	22.5	3.0	6.0	10.0	10	16.050	57
23	2019402974	40.0	30.0	10.0	6.0	10.0	10	19.700	51
24	2019692922	2.5	15.0	3.0	3.5	6.5	10	9.225	68
25	2019427242	82.5	75.0	10.0	6.0	10.0	10	32.825	29
26	2019429318	32.5	33.8	3.0	3.5	10.0	10	17.245	55
27	2019219968	31.3	17.5	6.0	4.0	10.0	10	15.320	58
28	2019498462	35.0	6.3	7.0	4.0	6.5	10	13.695	61
29	2019292136	30.0	32.5	5.0	5.0	8.5	10	17.075	55
30	2018271968	NA	NA	NA	NA	NA	NA	0.000	83
31	2019430544	41.3	77.5	8.0	4.5	5.5	10	25.420	41
32	2018291558	52.5	46.3	3.0	2.5	8.5	10	21.620	47

Performance Summary
Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)
Min. : 2.50	Min. : 2.30	Min. : 3.00	Min. : 1.000	Min. : 3.500	Min. :10	Min. : 0.00
1st Qu.:26.25	1st Qu.: 15.62	1st Qu.: 4.00	1st Qu.: 3.500	1st Qu.: 6.500	1st Qu.:10	1st Qu.:12.04
Median :32.50	Median : 29.40	Median : 6.00	Median : 4.000	Median :10.000	Median :10	Median :16.07
Mean :37.88	Mean : 34.09	Mean : 6.69	Mean : 4.212	Mean : 8.321	Mean :10	Mean :17.53
3rd Qu.:46.25	3rd Qu.: 45.98	3rd Qu.:10.00	3rd Qu.: 5.500	3rd Qu.:10.000	3rd Qu.:10	3rd Qu.:19.91
Max. :95.00	Max. :100.00	Max. :10.00	Max. :10.000	Max. :10.000	Max. :10	Max. :34.98
NA’s :1	NA’s :2	NA’s :3	NA’s :6	NA’s :4	NA’s :1	NA

KAM1101J

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)	Final Exam Score (Grade “C”)
1	2019441786	75.0	63.8	5	8.0	7.0	10	28.8	35
2	2019841622	22.5	45.0	6	4.0	10.0	10	18.1	53
3	2019260586	62.5	36.3	9	4.5	5.5	10	22.6	46
4	2019426172	93.8	86.3	10	10.0	10.0	10	37.0	22
5	2019437476	47.5	42.5	8	5.5	8.0	10	21.8	47
6	2019477706	25.0	22.5	9	5.5	10.0	10	16.0	57
7	2019421482	70.0	60.0	10	NA	7.5	10	27.0	38
8	2019698162	15.0	23.8	4	10.0	5.5	10	13.7	61
9	2019473874	43.8	66.3	10	5.0	9.0	10	25.3	41
10	2019438192	38.8	37.5	7	5.0	5.5	10	18.9	52
11	2019210324	7.5	0.0	0	2.0	NA	10	5.5	74
12	2019464914	25.0	12.5	1	NA	3.5	10	10.5	66
13	2019224702	51.3	32.5	8	4.5	5.0	10	20.1	50
14	2019441166	57.5	88.8	9	5.5	8.0	10	30.4	33
15	2019647608	86.3	87.5	10	6.5	10.0	10	35.4	24
16	2019215484	65.0	72.5	6	6.5	10.0	10	29.1	35
17	2019257694	35.0	50.0	5	7.0	10.0	10	21.2	48
18	2019263872	70.0	72.5	3	6.0	5.0	10	28.2	36
19	2019413344	32.5	35.0	10	8.0	10.0	10	19.7	51
20	2019292274	47.5	21.3	9	4.0	7.0	10	18.3	53
21	2019232902	65.0	90.0	10	10.0	10.0	10	33.3	28
22	2019461974	63.8	25.0	9	6.0	10.0	10	22.3	46
23	2018275514	40.0	62.5	7	5.0	5.0	10	22.8	45
24	2019607892	21.3	16.3	7	5.0	6.5	10	13.3	61
25	2019407274	65.0	55.0	10	10.0	10.0	10	28.0	37
26	2019226822	77.5	66.3	9	5.5	10.0	10	30.5	33
27	2019431946	68.8	97.5	10	10.0	10.0	10	34.9	25
28	2019473472	27.5	25.0	9	6.0	6.5	10	16.2	56
29	2019226258	96.3	100.0	10	10.0	10.0	10	39.4	18
30	2019203082	8.8	15.0	0	1.0	5.0	10	8.8	69

Performance Summary
Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)
Min. : 7.50	Min. : 0.00	Min. : 0.000	Min. : 1.000	Min. : 3.500	Min. :10	Min. : 5.50
1st Qu.:28.75	1st Qu.: 25.00	1st Qu.: 6.000	1st Qu.: 5.000	1st Qu.: 5.500	1st Qu.:10	1st Qu.:18.15
Median :49.40	Median : 47.50	Median : 9.000	Median : 5.750	Median : 8.000	Median :10	Median :22.45
Mean :50.18	Mean : 50.31	Mean : 7.333	Mean : 6.286	Mean : 7.914	Mean :10	Mean :23.24
3rd Qu.:67.85	3rd Qu.: 70.95	3rd Qu.:10.000	3rd Qu.: 8.000	3rd Qu.:10.000	3rd Qu.:10	3rd Qu.:29.02
Max. :96.30	Max. :100.00	Max. :10.000	Max. :10.000	Max. :10.000	Max. :10	Max. :39.40
NA	NA	NA	NA’s :2	NA’s :1	NA	NA

KBA1191B

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)	Final Exam Score (Grade “C”)
1	2019200578	100.0	100.0	10	10	10	10	40.000	17
2	2019443274	50.0	38.8	6	10	10	10	22.520	46
3	2019261314	100.0	98.8	10	10	10	10	39.820	17
4	2019287806	92.5	100.0	10	10	10	10	38.875	19
5	2019232568	85.0	86.3	10	10	10	10	35.695	24
6	2019408714	62.5	68.8	10	10	10	10	29.695	34
7	2019223104	72.5	92.5	10	10	10	10	34.750	25
8	2019414138	67.5	77.5	7	10	10	10	31.150	31
9	2019269856	97.5	97.5	10	10	10	10	39.250	18
10	2019247104	70.0	60.0	10	10	7	10	28.900	35
11	2019202918	95.0	78.8	10	10	10	10	36.070	23
12	2019233914	100.0	98.8	10	10	10	10	39.820	17
13	2019411378	32.5	5.0	8	9	3	10	13.625	61
14	2019432246	85.0	85.0	10	10	10	10	35.500	24
15	2019407136	82.5	90.0	6	10	9	10	34.875	25
16	2019248152	100.0	91.3	10	10	10	10	38.695	19
17	2019245224	62.5	50.0	10	7	10	10	26.275	40
18	2019283118	90.0	67.5	10	8	8	10	32.825	29
19	2019428338	85.0	57.5	10	10	10	10	31.375	31
20	2019280214	72.5	93.8	10	10	10	10	34.945	25
21	2019232762	50.0	38.8	10	8	9	10	22.720	45
22	2019227064	60.0	43.8	10	3	9	10	23.970	43
23	2019292358	70.0	46.3	10	10	10	10	27.445	38
24	2019414262	70.0	38.8	10	10	10	10	26.320	39
25	2019405138	92.5	86.3	10	10	10	10	36.820	22
26	2019293866	87.5	80.0	10	10	10	10	35.125	25
27	2019431916	85.0	98.8	10	10	10	10	37.570	21

Performance Summary
Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)
Min. : 32.50	Min. : 5.00	Min. : 6.000	Min. : 3.000	Min. : 3.000	Min. :10	Min. :13.62
1st Qu.: 68.75	1st Qu.: 53.75	1st Qu.:10.000	1st Qu.:10.000	1st Qu.:10.000	1st Qu.:10	1st Qu.:28.17
Median : 85.00	Median : 80.00	Median :10.000	Median :10.000	Median :10.000	Median :10	Median :34.88
Mean : 78.43	Mean : 72.99	Mean : 9.519	Mean : 9.444	Mean : 9.444	Mean :10	Mean :32.39
3rd Qu.: 92.50	3rd Qu.: 93.15	3rd Qu.:10.000	3rd Qu.:10.000	3rd Qu.:10.000	3rd Qu.:10	3rd Qu.:37.20
Max. :100.00	Max. :100.00	Max. :10.000	Max. :10.000	Max. :10.000	Max. :10	Max. :40.00

KBA1191C

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)	Final Exam Score (Grade “C”)
1	2019254206	67.5	73.8	10	10.0	10.0	10	31.195	31
2	2019437018	78.8	75.0	10	10.0	10.0	10	33.070	28
3	2019293222	83.8	100.0	10	10.0	10.0	10	37.570	21
4	2019431136	40.0	41.3	0	10.0	10.0	10	20.195	50
5	2019403652	67.5	87.5	10	10.0	10.0	10	33.250	28
6	2019686678	62.5	78.8	8	5.5	NA	10	27.895	37
7	2019215574	92.5	83.8	10	6.0	10.0	10	35.645	24
8	2019432266	41.3	NA	6	6.0	7.0	10	13.995	60
9	2019292798	43.8	95.0	10	10.0	10.0	10	30.820	32
10	2019648004	20.0	16.3	6	6.0	10.0	10	13.845	60
11	2019435826	83.8	88.8	6	6.0	10.0	10	34.290	26
12	2019436434	48.8	11.3	5	5.0	7.5	10	16.515	56
13	2019666572	72.5	96.3	5	6.0	10.0	10	33.520	27
14	2019258508	58.8	81.3	8	5.0	10.0	10	29.615	34
15	2019248218	65.0	42.5	8	5.0	10.0	10	24.725	42
16	2019234026	40.0	37.5	6	3.0	4.0	10	18.225	53
17	2019243288	13.8	21.3	9	5.0	5.5	10	13.165	61
18	2019211502	45.0	21.3	6	6.0	7.5	10	17.845	54
19	2019402334	12.5	3.8	8	6.0	10.0	10	11.245	65
20	2019297276	53.8	71.3	9	6.0	NA	10	25.765	40
21	2019260912	53.8	78.8	10	4.0	7.5	10	28.190	36
22	2019418058	11.3	3.8	6	6.0	10.0	10	10.665	66
23	2019210696	57.5	62.5	10	10.0	10.0	10	28.000	37
24	2019272436	47.5	58.8	10	5.5	6.0	10	24.245	43
25	2019228248	46.3	52.5	10	5.0	10.0	10	23.820	44

Performance Summary
Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)
Min. :11.30	Min. : 3.80	Min. : 0.00	Min. : 3.00	Min. : 4.000	Min. :10	Min. :10.66
1st Qu.:41.30	1st Qu.: 33.45	1st Qu.: 6.00	1st Qu.: 5.00	1st Qu.: 7.500	1st Qu.:10	1st Qu.:17.84
Median :53.80	Median : 66.90	Median : 8.00	Median : 6.00	Median :10.000	Median :10	Median :25.77
Mean :52.32	Mean : 57.64	Mean : 7.84	Mean : 6.68	Mean : 8.913	Mean :10	Mean :24.69
3rd Qu.:67.50	3rd Qu.: 81.92	3rd Qu.:10.00	3rd Qu.:10.00	3rd Qu.:10.000	3rd Qu.:10	3rd Qu.:31.20
Max. :92.50	Max. :100.00	Max. :10.00	Max. :10.00	Max. :10.000	Max. :10	Max. :37.57
NA	NA’s :1	NA	NA	NA’s :2	NA	NA

KBA1191F

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)	Final Exam Score (Grade “C”)
1	2019402126	62.5	58.8	9	9.5	10.0	10	27.895	37
2	2019429252	41.3	23.8	7	9.5	10.0	10	19.065	52
3	2019407988	88.8	85.0	10	9.5	10.0	10	35.970	23
4	2019292004	30.0	50.0	6	10.0	10.0	10	21.200	48
5	2019420106	70.0	87.5	10	9.5	10.0	10	33.525	27
6	2018447564	55.0	35.0	9	10.0	8.0	10	22.900	45
7	2019272916	48.8	33.8	5	10.0	10.0	10	21.390	48
8	2019429038	21.3	58.8	3	5.0	3.0	10	18.215	53
9	2019427592	60.0	17.5	10	5.0	8.0	10	20.225	50
10	2019265008	73.8	57.5	6	7.5	10.0	10	28.395	36
11	2019228568	58.8	85.0	8	8.0	10.0	10	30.770	32
12	2019225642	87.5	93.8	10	10.0	10.0	10	37.195	21
13	2019413708	45.0	17.5	10	4.5	10.0	10	18.275	53
14	2019270132	100.0	97.5	10	10.0	10.0	10	39.625	17
15	2019264874	63.8	58.8	10	10.0	10.0	10	28.390	36
16	2019404522	25.0	30.0	4	4.0	10.0	10	15.850	57
17	2019418462	25.0	73.8	10	10.0	10.0	10	24.820	42
18	2019239776	71.3	47.5	9	10.0	10.0	10	27.620	37
19	2019266276	68.8	52.5	10	NA	10.0	10	26.195	40
20	2019408508	31.3	38.8	10	6.5	10.0	10	19.815	50
21	2019238796	81.3	62.5	8	10.0	8.0	10	30.770	32
22	2019223208	40.0	28.8	4	5.0	10.0	10	18.120	53
23	2019412606	75.0	70.0	10	8.0	6.0	10	30.550	32
24	2019263818	53.8	92.5	6	7.0	10.0	10	30.545	32
25	2019238748	31.3	21.3	10	10.0	8.0	10	17.490	54
26	2019401334	20.0	52.5	10	4.5	6.5	10	19.075	52
27	2019429412	58.8	87.5	8	6.0	10.0	10	30.745	32
28	2019411788	31.3	10.0	10	5.0	10.0	10	15.195	58
29	2019220372	66.3	72.5	10	6.0	10.0	10	30.020	33
30	2019289974	82.5	72.5	10	8.0	10.0	10	32.850	29

Performance Summary
Test 1	Test 2	Quiz 1	Quiz 2	Quiz 3	Assign	CM (40%)
Min. : 20.00	Min. :10.00	Min. : 3.00	Min. : 4.000	Min. : 3.00	Min. :10	Min. :15.20
1st Qu.: 33.48	1st Qu.:34.10	1st Qu.: 7.25	1st Qu.: 6.000	1st Qu.:10.00	1st Qu.:10	1st Qu.:19.26
Median : 58.80	Median :58.15	Median :10.00	Median : 8.000	Median :10.00	Median :10	Median :26.91
Mean : 55.61	Mean :55.77	Mean : 8.40	Mean : 7.862	Mean : 9.25	Mean :10	Mean :25.76
3rd Qu.: 70.97	3rd Qu.:73.47	3rd Qu.:10.00	3rd Qu.:10.000	3rd Qu.:10.00	3rd Qu.:10	3rd Qu.:30.70
Max. :100.00	Max. :97.50	Max. :10.00	Max. :10.000	Max. :10.00	Max. :10	Max. :39.62
NA	NA	NA	NA’s :1	NA	NA	NA

Semester 20212

KBA1111E

QMT181/216/212/STA104

Course Information

Course Learning Outcomes

At the end of the course, students should be able to:
- Explain the concept, the use and the application of basic statistical tools in descriptive and inferential statistics. (C2)
- Determine appropriate statistical solution and interpreting the real world problem. (C5)
- Propose the use of descriptive statistics in the area of computing. (A3)

Course Description

This course introduces the basic statistical concepts in general applications. The topics include basic concepts of sampling methods, method of data collection, introductory methods in descriptive and inferential statistics. Specific topics include methods of describing data, correlation & regression analysis, time series analysis, index numbers and probability. Students will be exposed to statistical project which involve analyzing primary or secondary data in enhancing their understanding in solving real problems. Statistical Analysis using Excel or SPSS will be introduced.

Syllabus Content

Introduction to Statistics
- Definition of statistics
- Terms in statistics
- Types of statistics
- Sources of data
- Types of variable
- Scale of measurement
- Sampling techniques
- Data Collection Methods
Describing Data
- Data organization and presentation
- Measures of Central Tendency
- Measures of Location
- Measures of Dispersion
- Measures of Skewness
Correlation & Simple Linear Regression
- Correlation (Pearson’s Product Moment Correlation)
- Simple linear regression
Index Numbers
- Types of index numbers
- Calculate and explain unweighted index numbers
- Calculate and explain weighted index number
Time Series Analysis
- Component of time series
- Multiplicative time series model
- Trend Analysis (Moving Average Method)
- Seasonal Variations
- Forecasting
Probability
- Set theory
- Addition rules
- Multiplication rules and conditional probability
- Counting Rules (Permutation and Combination)
- Tree Diagram
- Bayes’ Theorem

Teaching Methodology

Lectures, Tutorial, Discussion

Assessment

Test 1 (Topic 1 & 2) : 15% (CLO1 -15%)
Test 2 (Topic 3 & 5) : 15% (CLO2- 15%)
Quiz (Topic 4) : 5% (CLO2- 5%)
Assignment (Topic 6 ) : 5% (CLO2 -5%)
Group Project (Topic 1 & Topic 2) : 10% (CLO 3-10%)
Final Examination : 50%

ITEM	WEIGHT	REMARK
Test 1 \(Topic 1 & 2\)	15%	CLO1
Test 2 \(Topic 3 & 5\)	15%	CLO2
Quiz \(Topic 4\)	5%	CLO2
Assignment \(Topic 6\)	5%	CLO2
Group Project \(Topic 1 & Topic 2\)	10%	CLO3
Final Examination	50%

Recommended Text

Allan Bluman, Elementary Statistics: A Step By Step Approach, 8, McGraw-Hill Science/Engineering/Math, 2013, ISBN: 0073534986

References

William G Marchal, Samuel A Wathen Douglas A Lind, Statistical Techniques in Business and Economics - 13th Edition, 13, McGraw Hill Companies, 2007, ISBN: 9780070667075.
Prem S. Mann, Introductory Statistics, 8, John Wiley & Sons, 2010, ISBN: 97804704446652.
Muhammad Rozi, M & Faridah, A.H, Business Statistics, Oxford Fajar Bakti Sdn. Bhd, 2011, ISBN: 13-97898345093.
Lau Too Kya, Phang Yook Ngor, Zainuddin Awang, Statistics for UiTM, 2, Penerbit Fajar Bakti Sdn. Bhd., 2009, ISBN: n/a
Halilah Haron, Understanding Statistics with SPSS, 1, University Publication Center (UPENA), 2010, ISBN: 9789673631520.

Scheme of Work

Week 1

Topic 1: Introduction to Statistics

Definition of statistics
Terms in statistics
- Population and sample
- Parameter and statistic
- Variable
- Census and sample survey (sampling)
Types of statistics
- Descriptive statistics
- Inferential statistics
Sources of data
- Primary data
- Secondary data
Types of variable
- Qualitative data
- Quantitative data (Discrete and continuous)
Scale of measurement
- Nominal
- Ordinal
- Interval
- Ratio

Remark:
Complete Entrance Survey
Slides

Week 2

Sampling techniques

Probability Sampling
- Simple random sampling (SRS)
- Systematic sampling
- Stratified sampling
- Cluster sampling
- Multistage sampling
Nonprobability Sampling
- Convenience sampling
- Quota sampling

Data Collection Methods

Interview (Face to face and telephone)
Direct Observation
Questionnaire ( self administered, electronic media)
thers

Remark:
Define term of sampling unit and sampling frame.

Emphasizing calculation on SRS, systematic and stratified sampling.

Guidelines to construct the questionnaires.

Week 3

Topic 2: Describing Data
Data organization and presentation

Graphical method for qualitative data
- Frequency Distribution Table
- Pie Chart
- Bar chart (Cluster, Stacked)
- Cross tabulation
Graphical method for quantitative data
- Frequency Distribution Table
- Stem and Leaf
- Histogram
- Frequency Polygon
- Ogive
Types of distribution

Remarks: Constructing histogram and ogive using graph paper. (compulsory)

Week 4

Numerical methods

Measure of central tendency for ungrouped and grouped
- Mean
- Median
- Mode

Remarks:

Using calculator to obtain sample mean and standard deviation. (Substitute all the summation values into the respective formula)

Interpret result from calculation. (Emphasizing the interpretation on mean, median, mode, skewness and coefficient variation)

Week 5

Measure of position for ungrouped and grouped
- Q1, Q2 and Q3
- IQR
- Quartile deviation
- Box and whisker plot

Remarks:

Week 6

Measure of dispersion for ungrouped and grouped
- Range
- Variance
- Standard deviation
Coefficient of variation for ungrouped and grouped
Measure of skewness for ungrouped and grouped

Remarks:
Using calculator to obtain sample mean and standard deviation. (Substitute all the summation values into the respective formula)
Interpret result from calculation. (Emphasizing the interpretation on mean, median, mode, skewness and coefficient variation)

Week 7

Topic 3: Correlation and Regression

Correlation
- Define dependent and independent variable
- Scatter Plot
- Pearson’s correlation coefficient (exclude Spearman’s rank correlation coefficient)

Remark:
Using calculator to obtain the Pearson’s Correlation Coefficient and Regression Line Equation by applying Least Square Method. (Substitute all the summation values into the respective formula)
Slides

Week 8

Topic 3: Correlation and Regression

Simple Linear Regression
- Least Squares Regression Line, \(y=a+bx\)
- Interpretation of \(a\) and \(b\)
- Assumptions of the Regression Model
- Use of Regression Model For Prediction Purposes

Remark:
Using calculator Regression Line Equation by applying Least Square Method. (Substitute all the summation values into the respective formula)

Week 9

Topic 4: Index Number

Types of index number
Calculate and explain unweighted index number
- Simple Relative Index
- Simple Average Relative Index
- Simple Aggregate Index
Calculate and explain weighted index number
- Weighted Index
- Laspeyres’ Price and Quantity Index
- Paasche’s Price and Quantity Index

Remark:
Slides

Week 10

Topic 5: Time Seies

Component of time series
Multiplicative time series model
Trend Analysis
- Moving Average Method

Remark:
All calculation is suggested in 4 decimal places
Slides

Week 11

Topic 5: Time Series

Measuring the Seasonal Variations
Forecasting

Remark:
All calculation is suggested in 4 decimal places
Slides

Week 12

Topic 6: Introduction to Probability

Addition rules for probability
Multiplication rules and conditional probability

Remark:
Complete Exit Survey
Slides

Week 13

Topic 6: Introduction to Probability

Counting rules
- Permutations
- Combinations

Remark:
Submit Group Project Report (Assessment 3)
Slides

Week 14

Topic 6: Introduction to Probability

Tree Diagram
Bayes’s Theorem

Remark:
Slides

Group Project Guidelines

OBJECTIVES PROJECT:

The main objective of this project is to expose the students to the application of statistics techniques towards on the primary/secondary data. Besides that, to overview the students to the Final Year Project report nature.

OUTCOMES PROJECT

At the end of the project, students should be able:
1. Describe the actual data.
2. Explain and analyze the appropriate statistics techniques in analyzing the actual data.
3. Produce a good class project report.

SUGGESTED GUIDELINES FOR PROJECT

1

GROUP MEMBERS
Students are required to perform a group with 3 – 4 members. (The number of members per group depending on the number of students in the class and the number of class)

2

SOURCE OF DATA
Students are allowed to use primary / secondary data. There is no restricted on the number of sample size.

3

COVER PAGE:
Cover page should include UiTM logo, report title, name, student number and group.
Sample Cover Page

4

ACKNOWLEDGEMENT

5

STANDARD TABLE OF CONTENT

6

CONTENT OF PROJECT

INTRODUCTION
1.1 Background of Study
1.2 Objectives of Study
METHODOLOGY
2.1 Description of Data
- Population
- Sample
- Sampling technique
- Data Collection Method
- The descriptions on the variables (variable, types of variable and level measurement) are given as follow.
  Example : Insert Image Here
  2.2 Method of analysis (Topic 2)
FINDINGS
It should include organizing and presenting data supported by numerical descriptive measures
- Use suitable chart/plot/table
- Comment the chart/plot/table
FORMATTING
- Font : Arial, 11
- Spacing : 1.5
- Language : English Language
- Length report : Minimum 8 pages including cover page and report content

Sample Report

7 DETAILS OF DATE SUBMISSION

Please ensure to submit the hardcopy and softcopy (burn in CD) BEFORE OR ON WEEK 13

Course Assessment

Sem 20192

KAC1102F

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz	Assign	Project	Total (50%)
1	2018640302	10.5	14.1	5.0	NA	NA	29.6
2	2018442864	4.5	8.3	5.0	5	NA	22.8
3	2018282206	13.4	14.1	5.0	NA	NA	32.5
4	2018415306	6.8	8.3	5.0	5	NA	25.1
5	2018419762	7.9	12.0	4.6	5	NA	29.5
6	2018281158	8.3	8.5	5.0	5	NA	26.8
7	2018244774	10.2	11.1	5.0	NA	NA	26.3
8	2018243456	9.6	6.4	3.2	5	NA	24.2
9	2018678692	6.8	4.7	4.1	5	NA	20.6
10	2018432214	10.2	13.4	5.0	NA	NA	28.6
11	2018643078	10.5	13.4	5.0	NA	NA	28.9
12	2018431382	4.0	10.9	2.3	NA	NA	17.2
13	2018291134	7.7	5.5	2.8	5	NA	21.0
14	2018255776	4.9	9.0	5.0	5	NA	23.9
15	2018684186	14.3	13.2	5.0	5	NA	37.5
16	2018653094	12.0	12.8	5.0	5	NA	34.8
17	2018252636	5.3	7.2	4.1	5	NA	21.6
18	2018675822	10.7	13.4	3.2	5	NA	32.3
19	2018417012	9.0	10.2	5.0	5	NA	29.2
20	2018229976	7.2	8.9	3.2	5	NA	24.3
21	2018219606	13.0	11.5	3.7	5	NA	33.2
22	2018218154	7.9	12.4	5.0	5	NA	30.3
23	2018652004	11.5	12.6	5.0	5	NA	34.1
24	2018800362	8.1	8.9	2.8	5	NA	24.8
25	2018289972	8.7	9.0	NA	5	NA	22.7
26	2018803622	11.7	11.5	5.0	5	NA	33.2

Performance Summary
Test 1	Test 2	Quiz	Assign	Project	Total (50%)
Min. : 4.000	Min. : 4.70	Min. :2.30	Min. :5	Mode:logical	Min. :17.20
1st Qu.: 7.325	1st Qu.: 8.60	1st Qu.:3.70	1st Qu.:5	NA’s:26	1st Qu.:23.98
Median : 8.850	Median :11.00	Median :5.00	Median :5	NA	Median :27.70
Mean : 9.027	Mean :10.43	Mean :4.36	Mean :5	NA	Mean :27.50
3rd Qu.:10.650	3rd Qu.:12.75	3rd Qu.:5.00	3rd Qu.:5	NA	3rd Qu.:31.80
Max. :14.300	Max. :14.10	Max. :5.00	Max. :5	NA	Max. :37.50
NA	NA	NA’s :1	NA’s :6	NA	NA

## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                              
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##                                  Statistic       df          p            Mean difference    SE difference                 Effect Size   
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##    Test 1         Student's t     1.2998690      24.00000    0.8970038          1.5661654        1.2048640    Cohen's d     0.57472548   
##    Test 2         Student's t     0.6661604      24.00000    0.7441692          0.8127820        1.2200996    Cohen's d     0.29453685   
##    Quiz           Student's t     0.8657397      23.00000    0.8022130          0.3531746        0.4079455    Cohen's d     0.38563113   
##    Assign         Student's t           NaN <U+1D43>                                                                 Cohen's d                  
##    Total (50%)    Student's t    -0.1521666      24.00000    0.4401637         -0.3518797        2.3124630    Cohen's d    -0.06727912   
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
##    <U+1D43> All observations are tied
## 
## 
##  Group Descriptives                                                                 
##  ---------------------------------------------------------------------------------- 
##                   Group    N     Mean         Median       SD           SE          
##  ---------------------------------------------------------------------------------- 
##    Test 1         L         7    10.171429    10.200000    1.9293473    0.7292247   
##                   P        19     8.605263     8.100000    2.9428772    0.6751423   
##                                                                                     
##    Test 2         L         7    11.028571    13.400000    3.9071363    1.4767587   
##                   P        19    10.215789    10.200000    2.2504970    0.5162994   
##                                                                                     
##    Quiz           L         7     4.614286     5.000000    0.7081162    0.2676428   
##                   P        18     4.261111     5.000000    0.9786779    0.2306766   
##                                                                                     
##    Assign         L         2     5.000000     5.000000    0.0000000    0.0000000   
##                   P        18     5.000000     5.000000    0.0000000    0.0000000   
##                                                                                     
##    Total (50%)    L         7    27.242857    28.600000    3.9169959    1.4804853   
##                   P        19    27.594737    26.800000    5.5998486    1.2846934   
##  ----------------------------------------------------------------------------------

KBA1193A

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz	Assign	Project	Total (50%)
1	2017167401	3.0	4.2	0.0	5	NA	12.2
2	2017648654	7.2	7.5	1.4	NA	NA	16.1
3	2017500635	6.8	12.4	2.3	5	NA	26.5
4	2017310341	1.2	5.9	1.4	NA	NA	8.5
5	2017665022	5.5	0.0	0.0	NA	NA	5.5
6	2017435914	5.5	3.6	3.2	NA	NA	12.3
7	2017435892	2.7	0.0	0.0	NA	NA	2.7
8	2017501027	4.2	6.0	3.2	NA	NA	13.4
9	2017310857	6.4	4.0	2.8	NA	NA	13.2
10	2017324165	5.3	5.5	2.8	NA	NA	13.6
11	2017362469	6.0	13.4	5.0	NA	NA	24.4
12	2017513063	9.8	11.5	4.1	5	NA	30.4
13	2017333593	5.1	12.4	5.0	5	NA	27.5
14	2017183905	9.0	12.2	5.0	NA	NA	26.2
15	2017665166	6.8	10.7	3.2	5	NA	25.7
16	2017410366	4.9	7.7	2.8	NA	NA	15.4
17	2017324345	8.7	11.3	3.0	NA	NA	23.0
18	2017500081	3.8	5.1	1.4	NA	NA	10.3
19	2017665262	9.8	14.3	5.0	5	NA	34.1
20	2017189279	1.9	4.7	2.8	NA	NA	9.4

Performance Summary
Test 1	Test 2	Quiz	Assign	Project	Total (50%)
Min. :1.20	Min. : 0.000	Min. :0.000	Min. :5	Mode:logical	Min. : 2.70
1st Qu.:4.10	1st Qu.: 4.575	1st Qu.:1.400	1st Qu.:5	NA’s:20	1st Qu.:11.72
Median :5.50	Median : 6.750	Median :2.800	Median :5	NA	Median :14.50
Mean :5.68	Mean : 7.620	Mean :2.720	Mean :5	NA	Mean :17.52
3rd Qu.:6.90	3rd Qu.:11.675	3rd Qu.:3.425	3rd Qu.:5	NA	3rd Qu.:25.82
Max. :9.80	Max. :14.300	Max. :5.000	Max. :5	NA	Max. :34.10
NA	NA	NA	NA’s :14	NA	NA

## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                             
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##                                  Statistic      df          p            Mean difference    SE difference                 Effect Size   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Test 1         Student's t    -1.386066      18.00000    0.0913295          -1.573626        1.1353184    Cohen's d     -0.6497978   
##    Test 2         Student's t    -4.630146      18.00000    0.0001040          -6.602198        1.4259156    Cohen's d     -2.1706460   
##    Quiz           Student's t    -2.208481      18.00000    0.0202096          -1.547253        0.7005958    Cohen's d     -1.0353521   
##    Assign         Student's t          NaN <U+1D43>                                                                 Cohen's d                  
##    Total (50%)    Student's t    -3.170795 <U+1D47>    18.00000    0.0026457         -10.931868        3.4476742    Cohen's d     -1.4864916   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
##    <U+1D43> All observations are tied
##    <U+1D47> Levene's test is significant (p < .05), suggesting a violation of the assumption of equal variances
## 
## 
##  Group Descriptives                                                                
##  --------------------------------------------------------------------------------- 
##                   Group    N     Mean         Median       SD          SE          
##  --------------------------------------------------------------------------------- 
##    Test 1         L         7     4.657143     5.300000    1.393864    0.5268311   
##                   P        13     6.230769     6.800000    2.797435    0.7758688   
##                                                                                    
##    Test 2         L         7     3.328571     4.000000    2.425362    0.9167007   
##                   P        13     9.930769    11.300000    3.306908    0.9171713   
##                                                                                    
##    Quiz           L         7     1.714286     2.800000    1.611861    0.6092261   
##                   P        13     3.261538     3.000000    1.432095    0.3971918   
##                                                                                    
##    Assign         L         1     5.000000     5.000000         NaN          NaN   
##                   P         5     5.000000     5.000000    0.000000    0.0000000   
##                                                                                    
##    Total (50%)    L         7    10.414286    12.300000    4.420192    1.6706755   
##                   P        13    21.346154    24.400000    8.447250    2.3428455   
##  ---------------------------------------------------------------------------------

KBA1193A-1

Continuous Assessment (40%)
Bil	No Pelajar	Test 1	Test 2	Quiz	Assign	Project	Total (50%)
1	2017246004	5.3	7.2	4.6	NA	NA	17.1

Performance Summary
Test 1	Test 2	Quiz	Assign	Project	Total (50%)
Min. :5.3	Min. :7.2	Min. :4.6	Mode:logical	Mode:logical	Min. :17.1
1st Qu.:5.3	1st Qu.:7.2	1st Qu.:4.6	NA’s:1	NA’s:1	1st Qu.:17.1
Median :5.3	Median :7.2	Median :4.6	NA	NA	Median :17.1
Mean :5.3	Mean :7.2	Mean :4.6	NA	NA	Mean :17.1
3rd Qu.:5.3	3rd Qu.:7.2	3rd Qu.:4.6	NA	NA	3rd Qu.:17.1
Max. :5.3	Max. :7.2	Max. :4.6	NA	NA	Max. :17.1

Teaching Activities

TIMETABLE

MAC 2019

SEPTEMBER 2019

OCT 2020 - FEB 2021 (20204)

20212

20214

COURSE DETAILS

MAT111

Course Information

Course Learning Outcomes

Course Description

Syllabus Content

References

Course Assessment

Continuous Assessment Marks

KBA1111D

MAT112

Course Information

Course Outcomes

Course Description

Syllabus Content

References

Course Assessment

Support Materials

Continuous Assessment Marks

Semester 20192

KBA1111E

KBA1191C

KBA1191D

KAC1101E

Semester 20194

KAC1101F

KAM1101I

KAM1101J

KBA1191B

KBA1191C

KBA1191F

Semester 20212

KBA1111E

QMT181/216/212/STA104

Course Information

Course Learning Outcomes

Course Description

Syllabus Content

Teaching Methodology

Assessment

Recommended Text

References

Scheme of Work

Group Project Guidelines

SUGGESTED GUIDELINES FOR PROJECT

1

2

3

4

5

6

7 DETAILS OF DATE SUBMISSION

Course Assessment

Sem 20192

KAC1102F

KBA1193A

KBA1193A-1

Sem 20212

KBA1113B

KBA1193A